Nuprl Definition : fun-path
y=f*(x) via L ==
0 < ||L||
∧ (y = hd(L) ∈ T)
∧ (x = last(L) ∈ T)
∧ (∀i:ℕ||L|| - 1. ((L[i] = (f L[i + 1]) ∈ T) ∧ (¬(L[i] = L[i + 1] ∈ T))))
Definitions occuring in Statement :
last: last(L),
select: L[n],
hd: hd(l),
length: ||as||,
int_seg: {i..j-},
less_than: a < b,
all: ∀x:A. B[x],
not: ¬A,
and: P ∧ Q,
apply: f a,
subtract: n - m,
add: n + m,
natural_number: $n,
equal: s = t ∈ T
Definitions occuring in definition :
less_than: a < b,
hd: hd(l),
last: last(L),
all: ∀x:A. B[x],
int_seg: {i..j-},
subtract: n - m,
length: ||as||,
and: P ∧ Q,
apply: f a,
not: ¬A,
equal: s = t ∈ T,
select: L[n],
add: n + m,
natural_number: $n
FDL editor aliases :
fun-path
Latex:
y=f*(x) via L ==
0 < ||L||
\mwedge{} (y = hd(L))
\mwedge{} (x = last(L))
\mwedge{} (\mforall{}i:\mBbbN{}||L|| - 1. ((L[i] = (f L[i + 1])) \mwedge{} (\mneg{}(L[i] = L[i + 1]))))
Date html generated:
2016_05_15-PM-04_55_53
Last ObjectModification:
2015_09_23-AM-07_51_00
Theory : general
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